1383732900 has 432 divisors, whose sum is σ = 5069675520. Its totient is φ = 312364800.

The previous prime is 1383732887. The next prime is 1383732947. The reversal of 1383732900 is 92373831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13434249 + ... + 13434351.

It is an arithmetic number, because the mean of its divisors is an integer number (11735360).

Almost surely, 2^1383732900 is an apocalyptic number.

1383732900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383732900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534837760).

1383732900 is an abundant number, since it is smaller than the sum of its proper divisors (3685942620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1383732900 is a wasteful number, since it uses less digits than its factorization.

1383732900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1383732900 is about 37198.5604560176. The cubic root of 1383732900 is about 1114.3392359471.

The spelling of 1383732900 in words is "one billion, three hundred eighty-three million, seven hundred thirty-two thousand, nine hundred".